8077 ÷ 2 = 4038 R1
Sure thing! Let's divide 8077 by 2 together.

Step 1:
2 goes into 8 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 8 from 8 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 2

Step 2:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 40
Subtract 0 from 0 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 2

Step 3:
2 goes into 7 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 403
Subtract 6 from 7 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 2

Step 4:
2 goes into 17 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 4038
Subtract 16 from 17 to get 1.

The final result is 4038 with a remainder of 1.